Answer:
1/32
Step-by-step explanation:
Since we want to find the probability that all five coins land on heads, we must first find the total number of possibilities. Since there are 2 choices for each coin to land on, heads or tails, the total number of possibilities is 2^5 = 32.
Since there is only one way to to land on all heads, the probability is 1/32.
Answer:
Catherine's sister ate 2/15 gallons of the ice cream.
.
Step-by-step explanation:
Let
be the amount of ice cream that Catherine's sister ate, in gallons.
- Original amount: 1 gallon.
- What Catherine ate:
gallons. - What Catherine's sister ate is assumed to be
gallons.
- What's left:
gallons.
Consider the relationship:
.
That is:
.
Add
to both sides of this equation:

Substract
from both sides:
.
Convert the denominator of all three numbers on the left-hand side to 
.
.
In other words, Catherine's sister ate
gallons of the ice cream.
Hold up i’m trying to help you but
Answer:
10 points
Step-by-step explanation:
Points scored in each of the first 3 quarter = x
Total points scored in the first 3 quarter = x + x + x
= 3x
Points scored in the fourth quarter = 14
Total points scored = 44 point
Total points scored = Total points scored in the first 3 quarter + Points scored in the fourth quarter
44 = 3x + 14
Subtract 14 from both sides
44 = 3x + 14
44 - 14 = 3x + 14 - 14
30 = 3x
Divide both sides by 3
x = 30/3
= 10
x = 10 points
Points scored in each of the first 3 quarter = x = 10 points
The school football team scored 10 points points in the first quarter
Strength [is proportional to] d^2
strength1/(d1)^2 = strength2/(d2)^2
800kg/(2cm)^2 = strength2/(3cm)^2
strength2 = 800 kg * (3 cm)^2/(2 cm)^2
strength2 = 800 kg * 3^2/2^2
strength2 = 800 kg * 9/4
strength2 = 1800 kg